Search a number
-
+
122669380 = 2251512269
BaseRepresentation
bin1110100111111…
…00100101000100
322112211020202101
413103330211010
5222400410010
620101121444
73016446451
oct723744504
9275736671
10122669380
1163275359
12350b9284
131c54cc42
1412412828
15ab8173a
hex74fc944

122669380 has 36 divisors (see below), whose sum is σ = 260287020. Its totient is φ = 48561600.

The previous prime is 122669369. The next prime is 122669423. The reversal of 122669380 is 83966221.

It can be written as a sum of positive squares in 2 ways, for example, as 23348224 + 99321156 = 4832^2 + 9966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455886 + ... + 456154.

It is an arithmetic number, because the mean of its divisors is an integer number (7230195).

Almost surely, 2122669380 is an apocalyptic number.

122669380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122669380 is an abundant number, since it is smaller than the sum of its proper divisors (137617640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122669380 is a wasteful number, since it uses less digits than its factorization.

122669380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 122669380 is about 11075.6209758189. The cubic root of 122669380 is about 496.8729910655.

The spelling of 122669380 in words is "one hundred twenty-two million, six hundred sixty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 151 269 302 538 604 755 1076 1345 1510 2690 3020 5380 22801 40619 45602 81238 91204 114005 162476 203095 228010 406190 456020 812380 6133469 12266938 24533876 30667345 61334690 122669380